Zero and Negative Exponents

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Presentation transcript:

Zero and Negative Exponents Algebra 1 8-1

Exponents Exploration Get a sheet of graph paper, and make a large graph. x-axis from -5 to +5, y-axis from -100 to +100 Have colored pencils Exponents

Exponents In one color graph the following points for the function x y 1 2 3 4 Exponents

Exponents

In a different color graph the following points for the function x y 1 2 3 4 5 6 Exponents

Exponents

Look real close, both curves are focusing on the same point for x=zero. What is that value? Exponents

Here are the two graphs zoomed in from a computer Exponents

Exponents They both cross at ONE We completed this for base values of two and three, would the same hold true for other base values? Exponents

For negative exponential values, we continue the smooth graph. Exponents

Exponents

Example

A simplified answer NEVER includes a negative exponent Exponents

Example

Example

Example

A common mistake mixes up negative signs. Warning

Example

Example

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Pages 397 – 398 18 – 54 even, 78, 79 Homework